6555340800 has 312 divisors, whose sum is σ = 24092024480. Its totient is φ = 1747353600.

The previous prime is 6555340793. The next prime is 6555340807. The reversal of 6555340800 is 80435556.

6555340800 is a `hidden beast` number, since 65 + 553 + 40 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6555340793) and next prime (6555340807).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6555340807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2763615 + ... + 2765985.

Almost surely, 2^6555340800 is an apocalyptic number.

6555340800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6555340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12046012240).

6555340800 is an abundant number, since it is smaller than the sum of its proper divisors (17536683680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6555340800 is a wasteful number, since it uses less digits than its factorization.

6555340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 6555340800 is about 80965.0591304669. The cubic root of 6555340800 is about 1871.5370321260.

The spelling of 6555340800 in words is "six billion, five hundred fifty-five million, three hundred forty thousand, eight hundred".